reference request - Stokes theorem for manifolds with corners?

Maybe this is an elementary question, but I'm unable to find the appropriate reference for it. The Stokes theorem tells us that, for a $n+1$-dimensional manifold $M$ with boundary $partial M$ and any differentiable $n$-form $omega$ on $M$, we have $int_{partial M} omega = int_M domega$.

But Stokes theorem is also true, say, for a cone $M = {(x,y,z) in mathbb{R}^3 vert x^2 + y^2 = z^2, 0leq z leq 1 }$, or a square in the plane, $M ={(x,y) in mathbb{R}^2 vert 0 leq x, yleq 1 }$ which are not manifolds. So my questions are:

1. Are these cone and square examples of what I think are called "manifold with corners"?


2. If this is so, where can I find a reference for a version of Stokes' theorem for manifolds with corners?


3. If "manifold with corners" is not, which is the appropriate setting (and a reference) for a Stokes' theorem that includes those examples?

Any hints will be appreciated.

EDIT: Since thanking individually everyone would be too long, let me edit my question to acknowledge all of your answers. Thank you very much: I've found what I was looking for and more.

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